Systematic approach to define and classify quantum transmission and reflection times

S. Brouard, R. Sala, Juan Gonzalo Muga · Physical Review A · 1994

A systematic procedure to define and/or classify local transmission and reflection times for the passage of a quantum particle through a static potential barrier is described. Previously defined times and new quantities arise as particular cases of the general formalism. Generalizations for multidimensional and multichannel scattering systems are presented. The one-dimensional results are applied in detail to the rectangular potential. Other nonlocal approaches based on the current density are also examined, and the ``Hartman effect'' is quantitatively characterized for wave packets.

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